Resolver 325*{left(144*2*13/200right)}^2

$$325 \times { \left( \frac{ 144 \times 2 \times 13 }{ 200 } \right) }^{ 2 }$$

Calcular

$$\frac{2847312}{25}=113892.48$$

Pasos da solución

Multiplica 144 e 2 para obter 288.

$$325\times \left(\frac{288\times 13}{200}\right)^{2}$$

Multiplica 288 e 13 para obter 3744.

$$325\times \left(\frac{3744}{200}\right)^{2}$$

Reduce a fracción \frac{3744}{200} a termos máis baixos extraendo e cancelando 8.

$$325\times \left(\frac{468}{25}\right)^{2}$$

Calcula \frac{468}{25} á potencia de 2 e obtén \frac{219024}{625}.

$$325\times \frac{219024}{625}$$

Multiplica 325 e \frac{219024}{625} para obter \frac{2847312}{25}.

$$\frac{2847312}{25}$$

Factorizar

$$\frac{2 ^ {4} \cdot 3 ^ {4} \cdot 13 ^ {3}}{5 ^ {2}} = 113892\frac{12}{25} = 113892.48$$